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Finding the Fourth Proportional to 53,686.98, 74,085.09 and 29,812.14

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Solution

The fourth proportional to 53,686.98, 74,085.09 and 29,812.14 is: 41,139.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,686.98 : 74,085.09 = 29,812.14 : x
  2. Step 2: Convert to fraction form
    53,686.98/74,085.09 = 29,812.14/x
  3. Step 3: Cross multiply
    53,686.98x = 74,085.09 × 29,812.14
  4. Step 4: Simplify right side
    53,686.98x = 2,208,635,074.99
  5. Step 5: Solve for x
    x = 2,208,635,074.99/53,686.98
  6. Step 6: Final answer
    x = 41,139.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.